Question

PLZ HELP!!! I'M BEGGING YOU!!! A hero is fighting with a dragon. At first, the dragon has three heads but each time the hero chops off a head the dragon grows three in its place. How many heads does the dragon have after n chops?

Answer 1

n = 3x

Explanation:

Answer 2

• h(n) = 3 + 2n

Explanation:

• Initial number of heads is 3
• Each chopped head is replaced with 3 heads

Let the number of chops is n and h(n) is the number of heads.

After the first chop and consecutive chops the number of heads are:

• h(1) = 3 - 1 + 3 = 3 + 2*1
• h(2) = 3 + 2 - 1 + 3 = 3 + 2*2
• h(3) = 3 + 2*2 -1 + 3 = 3 + 2*3
• ...
• h(n) = 3 + 2n